已知f(x)=2sinx/4cosx/4+cosx/2,求最值,令g(x)=f(x+π/3)判断g(x)奇偶性

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已知f(x)=2sinx/4cosx/4+cosx/2,求最值,令g(x)=f(x+π/3)判断g(x)奇偶性
已知f(x)=2sinx/4cosx/4+cosx/2,求最值,令g(x)=f(x+π/3)判断g(x)奇偶性

已知f(x)=2sinx/4cosx/4+cosx/2,求最值,令g(x)=f(x+π/3)判断g(x)奇偶性
f(x) =2 sin(x/4) cos(x/4) + cos(x/2)
= sin(x/2) + cos(x/2)
= √2 sin (x/2 + π/4)
最小值 -√2,最大值 √2
g(x) = √2 sin[ ( x +π/3)/2 +π/4]
= √2 sin (x/2 + 5π/12)
非奇非偶.

非奇非偶